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Finding the Fourth Proportional to 222,217.14, 306,657.90 and 120,242.46

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Solution

The fourth proportional to 222,217.14, 306,657.90 and 120,242.46 is: 165,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,217.14 : 306,657.90 = 120,242.46 : x
  2. Step 2: Convert to fraction form
    222,217.14/306,657.90 = 120,242.46/x
  3. Step 3: Cross multiply
    222,217.14x = 306,657.90 × 120,242.46
  4. Step 4: Simplify right side
    222,217.14x = 36,873,300,274.43
  5. Step 5: Solve for x
    x = 36,873,300,274.43/222,217.14
  6. Step 6: Final answer
    x = 165,933.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.